{"id":"W3119935975","doi":"10.23952/asvao.8.2026.1.06","title":"Sufficient optimality conditions for a separable product quasiconcave programming","year":2025,"lang":"en","type":"article","venue":"Applied Set-Valued Analysis and Optimization","topic":"Optimization and Variational Analysis","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Quasiconvex function; Separable space; Mathematics; Differentiable function; Function (biology); Product (mathematics); Mathematical optimization; Subderivative; Pure mathematics; Regular polygon; Convex optimization; Mathematical analysis","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006355661,0.0002077689,0.0004077121,0.0007035831,0.0006094426,0.0004683495,0.000295994,0.00007760928,0.00004105961],"category_scores_gemma":[0.00007854109,0.0001986772,0.0002138815,0.004024053,0.00005770902,0.0002905666,0.0001052536,0.00007766569,0.00000279986],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006835459,"about_ca_system_score_gemma":0.0001123142,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00004076878,"about_ca_topic_score_gemma":0.00001794583,"domain_scores_codex":[0.9981424,0.00006884203,0.0004993622,0.0007535378,0.0002556012,0.0002802442],"domain_scores_gemma":[0.9986756,0.0001229791,0.000234266,0.000465394,0.0004091837,0.00009254728],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.000009033027,0.0001057557,0.0003144163,0.000017726,0.0005747775,1.323353e-7,0.0001763634,0.746889,0.0000410234,0.2505112,0.0001533425,0.001207243],"study_design_scores_gemma":[0.0004861717,0.00001881279,0.0007115478,0.000005845481,0.001035901,3.335157e-7,0.0001106485,0.9954399,0.0002428565,0.001197176,0.0005375659,0.0002132402],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.0007897334,0.00007957916,0.9959433,0.001059108,0.00005891957,0.0006247515,0.00002506561,0.000156981,0.001262558],"genre_scores_gemma":[0.4635127,0.00003838491,0.5343217,0.0005262716,0.00003005053,0.0002874855,0.000733321,0.000008729246,0.0005414049],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.462723,"threshold_uncertainty_score":0.8101822,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01269521748917646,"score_gpt":0.2837351862185424,"score_spread":0.2710399687293659,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}